Answer:
x = 27/10
Explanation:
x/2 - 1/5 = x/3 + 1/4
To get rid of the denominators, we multiply both sides of the equation by the LCD.
The LCD of 2, 3, 4, and 5 is 2 × 3 × 2 × 5 = 60.
60(x/2 - 1/5) = 60(x/3 + 1/4)
60 × x/2 - 60 × 1/5 = 60 × x/3 + 60 × 1/4
30x - 12 = 20x + 15
Subtract 20x from both sides.
10x - 12 = 15
Add 12 to both sides.
10x = 27
Divide both sides by 10.
x = 27/10